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SUMMARY:Specialized Macdonald polynomials\, quantum K-theory\, and Kirillo
 v-Reshetikhin modules
DTSTART:20140303T151500
DTEND:20140303T170000
DTSTAMP:20260407T193328Z
UID:364156ec3661d0eaab3a4758493f7d7c267d6d14562830d34801a2f0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Cristian Lenart\, Max-Planck-Institut\, Bonn\, and State Unive
 rsity of New York at Albany\nThe (symmetric) Macdonald polynomials are Wey
 l group invariant polynomials with rational function coefficients in q\,t\
 , which specialize to the irreducible Lie algebra characters upon setting 
 q=t=0. Quantum K-theory is a K-theoretic generalization of quantum cohomol
 ogy. Kirillov-Reshetikhin (KR) modules are certain finite-dimensional modu
 les for affine Lie algebras. Braverman and Finkelberg related the Macdonal
 d polynomials specialized at t=0 to the quantum K-theory of flag varieties
 .  With S. Naito\, D. Sagaki\, A. Schilling\, and M. Shimozono\, I proved
  that the same specialization of Macdonald polynomials equals the graded c
 haracter of a tensor product of (one-column) KR modules. I will discuss th
 e combinatorics underlying these connections.
LOCATION:MAA331 http://plan.epfl.ch/?lang=fr&room=MA+A331
STATUS:CONFIRMED
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